Preparations

📝Extreme central L-values of almost prime quadratic twists of elliptic curves II

📝(with Philippe Michel) Torus, matrices, and the related family of L-functions III. Link

📝Torus, matrices, and the related family of L-functions II. Star

📝(with Philippe Michel) Torus, matrices, and the related family of L-functions I. Foundation

Open Preprints

📄(with Shaoyun Yi) When GL(2) cusp forms meet CM points in GSp(4) [arXiV]

📄PageRank on Lubotzky-Phillips-Sarnak graphs [arXiV]

📄(with Sizhe Xie) Prime pairs along rays of prime indices [arXiV]

📄(with Chung Pang Mok) Universal murmuration and Hecke augmentation [arXiV]

📄Selberg orthogonality for half-integral weight modular forms [arXiV]

📄An evident corollary arising from Newton-Thorne [arXiV]

📄Quadratic forms of modular forms [arXiV]

📄(with Bingrong Huang and Liangxun Li) Joint value distribution of Hecke-Maass forms [arXiV]

Accepted Works

📜(with Xinchen Miao) Decorrelation of SO(5)×SO(2) Bessel periods for symmetric cubes of GL(2), accepted by Indiana University Mathematics Journal [arXiV]

Published Works

📜(with Mingyue Fan and Sizhe Xie) Extreme central values of quadratic Dirichlet L-functions with prime conductors. Q. J. Math. 77 (2026), no. 1, 175-199 [arXiV, journal]

📜(with Bingrong Huang) Extreme central L-values of almost prime quadratic twists of elliptic curves. Sci. China Math. 66 (2023), no. 12, 2755–2766 (special issue dedicated to Jingrun Chen's Theorem (1 + 2) on the Goldbach Conjecture) [arXiV, journal, issue]

📜(with Bingrong Huang) Lower bounds for moments of quadratic twisted self-dual GL(3) central L-values. Acta Math. Sin. (Engl. Ser.), 39 (2023), no. 11, 2139–2148 [arXiV, journal]

📜(with Bingrong Huang) Determination of GL(3) cusp forms by central values of quadratic twisted L-functions. Int. Math. Res. Not. IMRN 2023, no. 9, 7976–8007 [arXiV, journal, corrigendum]

Notes

📄Discrete restrictions from Laurent monomial systems for multiple Dirichlet series [arXiV]

📄L-derivatives of the fixed elliptic curve over rank-one imaginary quadratic fields [arXiV]